The BJP is leading in six seats and the Congress in two in Rajasthan in the first round of counting.
BJP candidates have taken an early lead in Anupgarh, Masuda, Pali, Bali, Pindwara-Abu and Reodar seats, while the Congress is surging ahead in Pokaran and Jayal.
Energy minister Pushpendra singh is the BJP candidate from Pali. He is leading with a margin of 1,113 votes.
Rajasthan has 200 assembly seats. The voting was held on December 7, the last day of polling in a round of state elections billed as a semi final before next year's Lok Sabha polls.
Exit polls have predicted a win for the Congress.